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Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
| Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin |
| Autore | Freidlin Mark Iosifovich |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (557 pages) |
| Disciplina | 515.3/53 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Probabilities Integration, Functional |
| Soggetto non controllato |
A priori estimate
Absolute continuity Almost surely Analytic continuation Axiom Big O notation Boundary (topology) Boundary value problem Bounded function Calculation Cauchy problem Central limit theorem Characteristic function (probability theory) Chebyshev's inequality Coefficient Comparison theorem Continuous function (set theory) Continuous function Convergence of random variables Cylinder set Degeneracy (mathematics) Derivative Differential equation Differential operator Diffusion equation Diffusion process Dimension (vector space) Direct method in the calculus of variations Dirichlet boundary condition Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elliptic operator Elliptic partial differential equation Equation Existence theorem Exponential function Feynman–Kac formula Fokker–Planck equation Function space Functional analysis Fundamental solution Gaussian measure Girsanov theorem Hessian matrix Hölder condition Independence (probability theory) Integral curve Integral equation Invariant measure Iterated logarithm Itô's lemma Joint probability distribution Laplace operator Laplace's equation Lebesgue measure Limit (mathematics) Limit cycle Limit point Linear differential equation Linear map Lipschitz continuity Markov chain Markov process Markov property Maximum principle Mean value theorem Measure (mathematics) Modulus of continuity Moment (mathematics) Monotonic function Navier–Stokes equations Nonlinear system Ordinary differential equation Parameter Partial differential equation Periodic function Poisson kernel Probabilistic method Probability space Probability theory Probability Random function Regularization (mathematics) Schrödinger equation Self-adjoint operator Sign (mathematics) Simultaneous equations Smoothness State-space representation Stochastic calculus Stochastic differential equation Stochastic Support (mathematics) Theorem Theory Uniqueness theorem Variable (mathematics) Weak convergence (Hilbert space) Wiener process |
| ISBN | 1-4008-8159-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter |
| Record Nr. | UNINA-9910154753703321 |
Freidlin Mark Iosifovich
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
| Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (137 pages) : illustrations |
| Disciplina | 516.35 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Geometry, Algebraic |
| Soggetto non controllato |
3-sphere
Addition Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Analytic manifold Apply Approximation Binary icosahedral group Boundary (topology) Characteristic polynomial Codimension Coefficient Commutator subgroup Commutator Compact group Complex analysis Complex number Complex projective plane Conjecture Contradiction Coordinate space Coordinate system Derivative Differentiable manifold Dimension Directional derivative Euclidean space Euler number Exact sequence Existential quantification Exotic sphere Fiber bundle Fibration Field of fractions Finite group Finite set Finitely generated group Formal power series Free abelian group Free group Fundamental group Geometry Hermitian matrix Hessian matrix Homology (mathematics) Homology sphere Homotopy sphere Homotopy Hopf fibration Hypersurface Icosahedron Implicit function theorem Integer Integral domain Inverse function theorem Knot group Knot theory Line segment Linear combination Linear map Manifold Minor (linear algebra) Morse theory N-sphere Neighbourhood (mathematics) Normal (geometry) Normal subgroup Open set Orientability Parametrization Polynomial Prime ideal Principal ideal Projective space Real number Regular icosahedron Retract Riemannian manifold Second derivative Sign (mathematics) Simply connected space Smoothness Special case Submanifold Subset Surjective function Tangent space Theorem Topological manifold Topology Transcendence degree Tubular neighborhood Unit interval Unit sphere Unit vector Variable (mathematics) Vector field Vector space |
| ISBN | 1-4008-8181-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154743603321 |
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Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser
| Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser |
| Autore | Moser Jurgen |
| Edizione | [With a New foreword by Philip J. Holmes] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (212 pages) : illustrations |
| Disciplina | 521/.1 |
| Collana | Princeton Landmarks in Mathematics and Physics |
| Soggetto topico | Celestial mechanics |
| Soggetto non controllato |
Accuracy and precision
Action-angle coordinates Analytic function Bounded variation Calculation Chaos theory Coefficient Commutator Constant term Continuous embedding Continuous function Coordinate system Countable set Degrees of freedom (statistics) Degrees of freedom Derivative Determinant Differentiable function Differential equation Dimension (vector space) Discrete group Divergent series Divisor Duffing equation Eigenfunction Eigenvalues and eigenvectors Elliptic orbit Energy level Equation Ergodic theory Ergodicity Euclidean space Even and odd functions Existence theorem Existential quantification First-order partial differential equation Forcing function (differential equations) Fréchet derivative Gravitational constant Hamiltonian mechanics Hamiltonian system Hessian matrix Heteroclinic orbit Homoclinic orbit Hyperbolic partial differential equation Hyperbolic set Initial value problem Integer Integrable system Integration by parts Invariant manifold Inverse function Invertible matrix Iteration Jordan curve theorem Klein bottle Lie algebra Linear map Linear subspace Linearization Maxima and minima Monotonic function Newton's method Nonlinear system Normal bundle Normal mode Open set Parameter Partial differential equation Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Poincaré conjecture Polynomial Probability theory Proportionality (mathematics) Quasiperiodic motion Rate of convergence Rational dependence Regular element Root of unity Series expansion Sign (mathematics) Smoothness Special case Stability theory Statistical mechanics Structural stability Symbolic dynamics Symmetric matrix Tangent space Theorem Three-body problem Uniqueness theorem Unitary matrix Variable (mathematics) Variational principle Vector field Zero of a function |
| ISBN | 1-4008-8269-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLES |
| Record Nr. | UNINA-9910164944903321 |
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Moser Jurgen
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson
| Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson |
| Autore | Anderson R. D. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 514 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Topology
Functional analysis Differential topology |
| Soggetto non controllato |
Anderson's theorem
Annihilator (ring theory) Automorphism Baire measure Banach algebra Banach manifold Banach space Bounded operator Cartesian product Characterization (mathematics) Cohomology Compact space Complement (set theory) Complete metric space Connected space Continuous function Convex set Coset Critical point (mathematics) Diagram (category theory) Differentiable manifold Differential topology Dimension (vector space) Dimension Dimensional analysis Dual space Duality (mathematics) Endomorphism Equivalence class Euclidean space Existential quantification Explicit formulae (L-function) Exponential map (Riemannian geometry) Fixed-point theorem Fréchet derivative Fréchet space Fuchsian group Function space Fundamental class Haar measure Hessian matrix Hilbert space Homeomorphism Homology (mathematics) Homotopy group Homotopy Inclusion map Infimum and supremum Lebesgue space Lefschetz fixed-point theorem Limit point Linear space (geometry) Locally convex topological vector space Loop space Mathematical optimization Measure (mathematics) Metric space Module (mathematics) Natural topology Neighbourhood (mathematics) Normal space Normed vector space Open set Ordinal number Paracompact space Partition of unity Path space Product topology Quantifier (logic) Quotient space (linear algebra) Quotient space (topology) Radon measure Reflexive space Representation theorem Riemannian manifold Schauder fixed point theorem Sign (mathematics) Simply connected space Space form Special case Stiefel manifold Strong operator topology Subcategory Submanifold Subset Tangent space Teichmüller space Theorem Topological space Topological vector space Topology Transfinite induction Transfinite Transversal (geometry) Transversality theorem Tychonoff cube Union (set theory) Unit sphere Weak topology Weakly compact |
| ISBN | 1-4008-8140-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES / Bessaga, C. -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES / Bessaga, C. / Kadec, M. I. -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE / Borsuk, Karel -- SOME THIN SETS IN FRÉCHET SPACES / Corson, H. H. -- A REMARK ON BANACH ANALYTIC SPACES / Douady, A. -- FIBRING SPACES OF MAPS / Eells, James -- AN APPROXIMATE MORSE-SARD THEOREM / Eells, James / McAlpin, John -- MORSE THEORY FOR CLOSED CURVES / Eliasson, Halldor I. -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES / Fan, Ky -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES / Geba, Kazimierz / Granas, Andrzej -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER / Glaeser, G. -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S / Granas, Andrzej -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS / Holmes, R. B. -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES / James, Robert C. -- ASYMPTOTIC FIXED POINT THEORY / Jones, G. Stephen -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES / Knill, Ronald J. -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS / Kuiper, Nicolaas H. -- FIXED POINT INDEX AND LEFSCHETZ NUMBER / Leray, Jean -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE / Lindenstrauss, Joram -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE / Rothe, E. H. -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES / Wong, Raymond Y. T. |
| Record Nr. | UNINA-9910154743103321 |
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Anderson R. D.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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